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Introduction to Inverse Problems in Imaging 2nd edition [Pehme köide]

(University of Genova, Italy), , (University of Genova, Italy)
  • Formaat: Paperback / softback, 342 pages, kõrgus x laius: 254x178 mm, kaal: 453 g, 4 Tables, black and white; 73 Line drawings, black and white; 47 Halftones, black and white; 9 Illustrations, color; 111 Illustrations, black and white
  • Ilmumisaeg: 29-Jan-2024
  • Kirjastus: CRC Press
  • ISBN-10: 0367467860
  • ISBN-13: 9780367467869
Teised raamatud teemal:
  • Formaat: Paperback / softback, 342 pages, kõrgus x laius: 254x178 mm, kaal: 453 g, 4 Tables, black and white; 73 Line drawings, black and white; 47 Halftones, black and white; 9 Illustrations, color; 111 Illustrations, black and white
  • Ilmumisaeg: 29-Jan-2024
  • Kirjastus: CRC Press
  • ISBN-10: 0367467860
  • ISBN-13: 9780367467869
Teised raamatud teemal:

Fully updated throughout and with several new chapters, this second edition of Introduction to Inverse Problems in Imaging guides advanced undergraduate and graduate students in physics, computer science, mathematics and engineering through the principles of linear inverse problems, in addition to methods of their approximate solution and their practical applications in imaging.

This second edition contains new chapters on edge-preserving and sparsity-enforcing regularization in addition to maximum likelihood methods and Bayesian regularization for Poisson data.

The level of mathematical treatment is kept as low as possible to make the book suitable for a wide range of students from different backgrounds, with readers needing just a rudimentary understanding of analysis, geometry, linear algebra, probability theory, and Fourier analysis.

The authors concentrate on presenting easily implementable and fast solution algorithms, and this second edition is accompanied by numerical examples throughout. It will provide readers with the appropriate background needed for a clear understanding of the essence of inverse problems (ill-posedness and its cure) and, consequently, for an intelligent assessment of the rapidly growing literature on these problems.

Key features:

  • Provides an accessible introduction to the topic while keeping mathematics to a minimum
  • Interdisciplinary topic with growing relevance and wide-ranging applications
    • Accompanied by numerical examples throughout
  •  



    Fully updated throughout, with several new chapters, this second edition of Introduction to Inverse Problems in Imaging guides advanced undergraduate and graduate students in physics, computer science, mathematics and engineering through the principles of linear inverse problems.

    1. Introduction.
    2. Examples of image blurring.
    3. The ill-posedness of
    image deconvolution.
    4. Quadratic tikhonov regularization.
    5. Iterative
    regularization methods.
    6. Examples of linear inverse problems.
    7. Singular
    value decomposition (SVD).
    8. Inversion methods revisited.
    9. Edge-preserving
    regularization.
    10. Sparsity-enforcing regularization.
    11. Statistical
    approaches to linear inverse problems
    12. Statistical methods in the case of
    additive Gaussian noise
    13. Statistical methods in the case of Poisson data
    14. Conclusions
    Mario Bertero is a Professor at the Università di Genova. Patrizia Boccacci is a Professor at the Università di Genova. Christine De Mol is a Professor at the Université libre de Bruxelles.